A note on imposing displacement boundary conditions in finite element analysis

被引：14

作者：

Wu, Baisheng ^{[1
]}

Xu, Zhonghai ^{[1
]}

Li, Zhengguang ^{[1
]}

机构：

[1] Jilin Univ, Dept Mech & Engn Sci, Sch Math, Changchun 130012, Peoples R China

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2008年 / 24卷 / 09期

关键词：

direct stiffness method; displacement boundary condition; coefficient matrix; removal of singularity; condition number; error sensitivity;

D O I：

10.1002/cnm.989

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, an improved procedure for imposing displacement boundary conditions in the direct stiffness method of the finite element analysis is presented. The proposed procedure neither changes the original order of the master stiffness matrix, nor does it require the rearrangement of the coefficient matrix. Consequently, it is easy to be implemented. Especially, the condition numbers of coefficient matrices of the improved procedure are remarkably reduced; hence the sensitivity of the solution to perturbations is considerably lowered. Numerical examples are used to demonstrate the validity of the proposed procedure. Copyright (c) 2007 John Wiley & Sons, Ltd.

引用

页码：777 / 784

页数：8

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